rhinocommon-geometry

Rhino.Geometry — Complete Reference

Core Value Types (Structs)

// Points
Point3d pt = new Point3d(1.0, 2.0, 3.0);
Point2d uv = new Point2d(0.5, 0.5);
Point3f ptF = new Point3f(1f, 2f, 3f); // float precision (mesh vertices)

// Vectors
Vector3d v = new Vector3d(0, 0, 1);    // Z-axis direction
v.Unitize();                            // normalize in place (returns bool)
double len = v.Length;
Vector3d cross = Vector3d.CrossProduct(v1, v2);
double dot = v1 * v2;                   // dot product operator

// Point - Vector arithmetic
Point3d moved = pt + v * 5.0;          // translate point
Vector3d diff = pt2 - pt1;             // vector from pt1 to pt2

// Interval
Interval domain = new Interval(0.0, 1.0);
double mid = domain.Mid;               // 0.5
double t = domain.ParameterAt(0.25);   // remap 0..1 to domain

// BoundingBox
BoundingBox bbox = new BoundingBox(Point3d.Origin, new Point3d(10, 10, 10));
bool contains = bbox.Contains(pt);
bbox.Inflate(1.0);                      // expand uniformly
Point3d center = bbox.Center;

Plane

// Common planes
Plane world = Plane.WorldXY;
Plane worldYZ = Plane.WorldYZ;
Plane worldZX = Plane.WorldZX;

// Custom plane (origin, xAxis, yAxis — must be orthonormal)
Plane plane = new Plane(origin, xAxis, yAxis);

// Plane from point + normal
Plane fromNormal = new Plane(origin, normal);

// Plane at point on surface
Surface srf; double u, v;
srf.FrameAt(u, v, out Plane srfFrame);

// Coordinate transform
plane.ClosestPoint(worldPt, out double px, out double py);
Point3d localPt = plane.PointAt(px, py);

Transform

// Identity
Transform xf = Transform.Identity;

// Translation
Transform move = Transform.Translation(new Vector3d(10, 0, 0));

// Rotation (angle in radians)
Transform rot = Transform.Rotation(Math.PI / 4, Vector3d.ZAxis, Point3d.Origin);

// Scale
Transform scale = Transform.Scale(Point3d.Origin, 2.0);
Transform nonUniform = Transform.Scale(new Plane(origin, xAxis, yAxis), 2, 1, 1);

// Mirror
Transform mirror = Transform.Mirror(Plane.WorldYZ);

// Apply to geometry (always work on a duplicate!)
GeometryBase geo = original.Duplicate();
geo.Transform(xf);

// Compose transforms
Transform combined = rot * move; // applied right-to-left: move then rot